Question

find the square root of 144 by prime factorisation method ​

Answer 1

Answer:

Square Root of 144 by Prime Factorization Method

Determine the prime factors of 144. 144 = 2 × 2 × 2 × 2 × 3 × 3. 144 = 24 × 32

Group the prime factors of 144 in pairs. 144 = 22 × 22 × 32

Pick one factor from each pair and the square root of 144 can be written as: √144 = √(22 × 22 × 32) √144 = √(2 × 2 × 3)2

Step-by-step explanation:

Answer 2

Answer:

144 = 2×72

• = 2×2×36
• = 2×2×2×18
• = 2×2×2×2×9
• = 2×2×2×2×3×3

√144 = √2×2×2×2×3×3 = 2×2×3 = 12.

hope it helps :)